Chapter 4: Q. 15 (page 225)

Find the domain of the rational function.
$\frac{- 4 x^{2}}{(x - 2) (x + 4)}$

Short Answer

Expert verified

The domain of the given function is $(- \infty, - 4) \cup (- 4, 2) \cup (2, \infty)$

Step by step solution

Step 1. Given information

The given function is $H (x) = \frac{- 4 x^{2}}{(x - 2) (x + 4)}$

Step 2. Find the domain

For the domain, the denominator should not be equal to zero.

So,

$(x - 2) (x + 4) \neq 0 x - 2 \neq 0 x \neq 2 o r x + 4 \neq 0 x \neq - 4$

Thus, the domain of the given function is all real numbers except $2$ and $- 4$

Therefore, the domain islocalid="1646074172973" $(- \infty, - 4) \cup (- 4, 2) \cup (2, \infty)$

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Find the domain of the rational function.
$\frac{- 4 x^{2}}{(x - 2) (x + 4)}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the domain

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Find the domain of the rational function. -4x2x-2(x+4)

Short Answer

Step by step solution

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Find the domain of the rational function.
$\frac{- 4 x^{2}}{(x - 2) (x + 4)}$